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Comparison triangle
also called Comparison angle

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  1. So, for example, M₀² is the Euclidean plane, M₁² is the surface of the unit sphere, and M₋₁² is the hyperbolic plane

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
  2. Let X be a metric space

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
  3. Define Mk² as the 2-dimensional metric space of constant curvature k

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
  4. Let T be a triangle in X, with vertices p, q and r

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
  5. T* in Mk² for T is a triangle in Mk² with vertices p', q' and r' such that d(p,q) = d(p',q'), d(p,r) = d(p',r') and d(r,q) = d(r',q')

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
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